Question

The angels of quadrilateral are in ratio 3:5 : 9:13

Answer 1

Let an angle be x
3x + 5x + 9x + 13x = 30x
30x = 360°
x = 360°/ 30
x = 12°
3x = 12°×3 = 36°
5x = 12°×5 = 60°
9x = 12°×9 = 108°
13x = 12°×13 = 156°

Answer 2

$\huge \mathfrak{hello}$
$\tiny \bold{your \: answer : }$


Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x and 13x respectively.


As the sum of all interior angles of a quadrilateral is 360°

3x = 360°
x = 12°


Hence, the angles are

3x = 3 × 12 = 36°
5x = 5 × 12 = 60°
9x = 9 × 12 = 180°
13x = 13 × 12 = 156°



$\boxed{hope \: its \: helps \: you}$